Respuesta :

Answer:

YZ = 25.40 correct to 1dp

Step-by-Step explanation:

Sin16°= XZ/YZ

YZ=XZ/sin16°

YZ=7/0.276

YZ=25.3623188405797

YZ = 25.40 correct to 1dp

Answer:

XZ ≈ 24.39

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan16° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XZ}{YZ}[/tex] = [tex]\frac{7}{YZ}[/tex] ( multiply both sides by YZ )

YZ × tan16° = 7

YZ × 0.287 = 7 ( divide both sides by 0.287 )

YZ = [tex]\frac{7}{0.287}[/tex] ≈ 24.39 ( to 2 dec. places )